Can you explain the relationship between 27 and 37 that produces 1/27=0.037037037... and 1/37=0.027027027...? (That is, each number forms the other number's repeating decimal.)

Can you provide other similar examples, possibly with more or fewer digits?

Here's another example:

1/297 = .003367003367003367...
1/3367=.000297000297000297...

Posted by Erik O. on 2004-11-24 14:54:17